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48320035344 = 2432756984247
BaseRepresentation
bin101101000000000110…
…010011101000010000
311121201111200010100200
4231000012103220100
51242424412112334
634110430015200
73330262344420
oct550006235020
9147644603320
1048320035344
1119546444809
129446347500
1347309b99b9
1424a5582480
1513cc14c799
hexb40193a10

48320035344 has 120 divisors (see below), whose sum is σ = 154820864640. Its totient is φ = 13781297664.

The previous prime is 48320035331. The next prime is 48320035367. The reversal of 48320035344 is 44353002384.

48320035344 is a `hidden beast` number, since 4 + 83 + 200 + 35 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48320035299 and 48320035308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 531429 + ... + 615675.

It is an arithmetic number, because the mean of its divisors is an integer number (1290173872).

Almost surely, 248320035344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48320035344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77410432320).

48320035344 is an abundant number, since it is smaller than the sum of its proper divisors (106500829296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48320035344 is a wasteful number, since it uses less digits than its factorization.

48320035344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84837 (or 84828 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 48320035344 in words is "forty-eight billion, three hundred twenty million, thirty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 569 1008 1138 1707 2276 3414 3983 4552 5121 6828 7966 9104 10242 11949 13656 15932 20484 23898 27312 31864 35847 40968 47796 63728 71694 81936 84247 95592 143388 168494 191184 252741 286776 336988 505482 573552 589729 673976 758223 1010964 1179458 1347952 1516446 1769187 2021928 2358916 3032892 3538374 4043856 4717832 5307561 6065784 7076748 9435664 10615122 12131568 14153496 21230244 28306992 42460488 47936543 84920976 95873086 143809629 191746172 287619258 335555801 383492344 431428887 575238516 671111602 766984688 862857774 1006667403 1150477032 1342223204 1725715548 2013334806 2300954064 2684446408 3020002209 3451431096 4026669612 5368892816 6040004418 6902862192 8053339224 12080008836 16106678448 24160017672 48320035344